Any line cuts off equal distances between the curve and the asymptotes.
This pumping action results in an extremely rapid circulation of the heating agent, enabling long distances to be traversed without much loss of heat.
An important property is: the difference of the focal distances of any point on the curve equals the transverse axis.
The problem, however, of constructing a deep-sea cable satisfactorily, with suitable inductance coils inserted at short distances apart, is a difficult one, and one which it cannot be said has been solved.
Two brightly lit, massive bronze chandeliers dangled at even distances across the ceiling.
He looked away and turned his back to her, stance guarded as he paced short distances back and forth, like a caged panther.
Eusebius in his Onomasticon uses it as a central point from which the distances of other towns are measured.
µcxp6s, small, i tthrpov, a measure), an instrument generally applied to telescopes and microscopes for measuring small angular distances with the former or the dimensions of small objects with the latter.
These include the mutual distances of some of the stars in the Pleiades, a few observations of the apparent diameter of the sun, others of the distance of the moon from neighbouring stars, and a great number of measurements of the diameter of the moon.
At Greenwich, Oxford and several other observatories, instead of measuring the distances of the star's image from the opposite sides of the 5 mm.
Above these distances they are mere mountain torrents.
The tangent at any point bisects the angle between the focal distances of the point, and the normal is equally inclined to the focal distances.
The fundamental difference between the two methods is that while the mechanical energy developed by a steam engine is in the first case applied directly to the driving-axle of the locomotive, in the second case it is transformed into electrical energy, transmitted over relatively long distances, and retransformed into mechanical energy on the driving-axles of the train.
That to fit the actions and distances covered by Alexander into such a scheme, assuming that he went by Seistan and Kandahar, would involve physical impossibilities has been pointed out by Count Yorck v.
Owing to the great distances which must be covered, and also to the defective means of communication in sparsely settled districts, the costs of the postal service in Argentina are unavoidably high in relation to the receipts.
It can be moved (by its own locomotive power, if desired) long distances without requiring any complicated means of conveying power to it; and it is rapid in work, fairly economical, and can be adapted to the most varying circumstances.
For a like message over distances from ioo to 200 miles; 2s.
In this manner Trowbridge showed that signalling might be carried on over considerable distances by electric conduction through the earth or water between places not metallically connected.
The magnetic and electric forces are directed alternately in one direction and the other, and at distances which are called multiples of a wave length the force is in the same direction at the same time, but in the case of damped waves h.as not quite the same intensity.
In his method three vertical antennae are employed, placed at equidistant distances, and oscillations are created in the three with a certain relative difference of phase.
Pupin showed that by placing inductance coils in circuit, at distances apart of less than half the length of the shortest component wave to be transmitted, a non-uniform conductor could be made approximately equal to a uniform conductor.
The capacity of camels for travelling long distances without water - owing to special structural modifications in the stomach - is familiar to all.
There are, however, considerable reductions for distances over 93 m., on a scale increasing in proportion to the distance.
Particulars arising from comparing one part with another "; but under this head the questions discussed were longitude, the situation and distances of places, and navigation.
The Rhone and the Saone are navigable for considerable distances in the department; the chief railway is that of the Paris-LyonMediterranee Company, whose line from Macon to Culoz traverses the department.
In the first, the Periplus of the Outer Sea, in two books, in which he proposed to give a complete description of the coasts of the eastern and western oceans, his chief authority is Ptolemy; the distances from one point to another are given in stades, with the object of rendering the work easier for the ordinary student.
Others are navigable only for short distances by steamers of light draught.
A mean degree of the meridian being assumed to be 69-09 statute miles of 5280 ft., the nautical mile (A l b - degree) is taken as 6080 ft., which is a sufficiently close approximation for practical purposes, and the distances between the knots are made to bear the same relation to 6080 ft.
They can apply to the police commissaries (stanovoti) or to the justices of the peace; but the great distances to be traversed in a country so sparsely populated makes this course highly inconvenient.
So much of the expense of the handling, both of freight and of passengers, was independent of the length of the journey that a mileage rate sufficiently large for short distances was unnecessarily burdensome for long ones, and was bound to destroy long-distance traffic, if the theory were consistently applied.
For suburban traffic with a service at a few minutes' interval and short distances between the stations electric traction has proved itself to be superior in many respects to the steam locomotive, but for main line traffic and long distance runs it has not yet been demonstrated that it is commercially feasible, though it is known to be practically possible.
In America and other countries where distances are great and passengers have to spend several days continuously in a train sleeping and restaurant cars are almost a necessity, and accordingly are to be found on most important through trains.
In the United Kingdom, where the distances are comparatively small, sleeping and dining cars must be regarded rather as luxuries; still even so, they are to be met with very frequently.
Over shorter distances still more rapid running is occasionally arranged, and in Great Britain, France and the United States there are instances of trains scheduled to maintain an average speed of 60 m.
An hour, are reached, and sustained for shorter or longer distances every day by express trains whose average speed between any two stoppingplaces is very much less.
On the other hand, where, as in America, the great volume of freight is raw material and crude food-stuffs, and the distances are great, a low charge per unit of transportation is more important than any consideration such as quickness of delivery; therefore full car-loads of freight are massed into enormous trains, which run unbroken for distances of perhaps 1000 m.
At a printing-press established in Walther's house by Regiomontanus, Purbach's Theoricae planetarum novae was published in 1472 or 1473; a series of popular calendars issued from it, and in 1474 a volume of Ephemerides calculated by Regiomontanus for thirty-two years (1474-1506), in which the method of "lunar distances," for determining the longitude at sea, was recommended and explained.
The horsemen were splendidly audacious in riding for long distances into the heart of a hostile country, without support, striking some terrific blows, and then returning rapidly beyond reach of pursuit.
The forests of Peak and Duffield had their separate courts and officers, the justice seat of the former being in an extra-parochial part at equal distances from Castleton, Tideswell and Bowden, while the pleas of Duffield Forest were held at Tutbury.
West of that river (south of the city); and the outer works, approximately paralleling the inner line, at distances of from 2 to 3 m.
In 1879, at Kilburn, the competition was of railway waggons to convey perishable goods long distances at low temperatures.
The lemniscate of Bernoulli may be defined as the locus of a point which moves so that the product of its distances from two fixed points is constant and is equal to the square of half the distance between these points.
ANTONINI ITINERARIUM, a valuable register, still extant, of the stations and distances along the various roads of the Roman empire, seemingly based on official documents, which were probably those of the survey organized by Julius Caesar, and carried out under Augustus.
Plans of attack were sketched: routes were traced: distances were measured; and finally in 1163 there came the impulse from within which turned these plans into action.
(3) Sunday and Wednesday of each week are appointed as the chief market days and to that end a sufficient number of troops will be stationed along the highroads on Tuesdays and Saturdays at such distances from the town as to protect the carts.
It was impossible first because--as experience shows that a three-mile movement of columns on a battlefield never coincides with the plans--the probability of Chichagov, Kutuzov, and Wittgenstein effecting a junction on time at an appointed place was so remote as to be tantamount to impossibility, as in fact thought Kutuzov, who when he received the plan remarked that diversions planned over great distances do not yield the desired results.
But even then, at moments of weakness as he had accounted them, his mind had penetrated to those distances and he had there seen the same pettiness, worldliness, and senselessness.
Most stations had one of the Guardians—or Naturals—capable of Traveling great distances the way he did, by using magic to slip through space and time and end up elsewhere.
"Tetrahedral co-ordinates" are a system of quadriplanar co-ordinates, the fundamental planes being the faces of a tetrahedron, and the co-ordinates the perpendicular distances of the point from the faces, a positive sign being given if the point be between the face and the opposite vertex, and a negative sign if not.
To measure distances with the Fraunhofer micrometer, the position-circle is clamped at the true position-angle of the star, and the telescope is moved by its slow motions so that the component A of the star is bisected by the fixed wire; the other component B is then bisected by the web, which is moved by the graduated head S.
Rate irrespective of distance had not justified itself, and that for any but very short distances the tariff was " utterly unremunerative " notwithstanding a very large increase in volume of business.
Sometimes, however, a sharp incline occurring on an otherwise easy line is not reckoned as the ruling gradient, trains heavier than could be drawn up it by a single engine being helped by an assistant or " bank " engine; sometimes also " momentum " or " velocity " grades, steeper than the ruling gradient, are permitted for short distances in cases where a train can approach at full speed and thus surmount them by the aid of its momentum.
These streams are navigable for short distances, but are obstructed by sand-bars at their mouths, that of Cotinguiba being especially dangerous.
The famous city, within easy reach of the southern desert and central Palestine (to Hebron and to Samaria the distances are about 18 and 35 miles respectively), had already entered into Palestinian history in the " Amarna " age (§ 3).
Not only are the load and speed increasing, but the distances run without a stop are increasing also, and to avoid increasing the size of the tenders, water-troughs, first instituted by J.